Question

The profit of a company receives is given by the expression 0.15(855p - 315) where p is the number of problems sold. Rewrite this expression using the distributive property. What is the profit for 25 products sold and 150 products sold?

Answer 1

The profit for 25 products sold and 150 products sold are 3159 and 19190.25 respectively.

Explanation

The profit of a company receives is given by the expression:  $0.15(855p - 315)$

Simplifying this expression using distributive property, we will get .....

$0.15(855p - 315) \\ \\ = (0.15*855p)-(0.15*315)\\ \\ =128.25p-47.25$

So, the simplified expression for profit will be:  $128.25p-47.25$

As $p$ represents the number of products sold, so for finding the profit for 25 products sold and 150 products sold, we need plug $p=25$ and $p=150$ separately into the above expression.  

For $p=25$,  Profit $=128.25(25)-47.25 = 3206.25-47.25= 3159$

For $p=150$, Profit $=128.25(150)-47.25 = 19237.50-47.25= 19190.25$